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arxiv: 1109.3773 · v2 · submitted 2011-09-17 · ✦ hep-th · math-ph· math.MP

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Schrodinger Equations for Higher Order Non-relativistic Particles and N-Galilean Conformal Symmetry

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classification ✦ hep-th math-phmath.MP
keywords equationsschrodingerconformaldimensionshigherinvariantnon-relativisticorder
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We consider Schrodinger equations for a non-relativistic particle obeying N+1-th order higher derivative classical equation of motion. These equations are invariant under N(odd)-extended Galilean conformal (NGC) algebras in general d+1 dimensions. In 2+1 dimensions, the exotic Schrodinger equations are invariant under N(even)-GCA.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Remarks on Galilean electromagnetism

    physics.class-ph 2026-01 unverdicted novelty 4.0

    Galilean electromagnetism equations with sources are invariant under the l-conformal Galilei group for arbitrary half-integer l, connecting inertial frames to accelerated ones and indicating potential instability.